As mentioned in section 1, slow adiabatic change of a state
is a problem in view of decoherence and it is desirable to
obtain the same result as adiabatic time-evolution in much shorter
time, which is of help to implement high precision quantum gates
in the gate model of quantum computing. Suppression of decoherence is of vital importance in the NISQ (Noisy Intermediate-Scale Quantum Computing)
without quantum error correcting codes.
Prevention of transition to other eigenstates is also essential in adiabatic quantum computing.
Chen et al. [1]} introduced “shortcuts
to adiabaticity”
for controlling atoms in a harmonic trap
by employing the method developed by Lewis and Riesenfeld [2]}, which resulted in a surge of STA research.
